{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "view-in-github"
   },
   "source": [
    "<a href=\"https://colab.research.google.com/github/CoreTheGreat/HBPU-Machine-Learning-Course/blob/main/ML_Chapter3_Classification.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "lPboLx_o0UxI"
   },
   "source": [
    "# 第三章：分类\n",
    "湖北理工学院《机器学习》课程资料\n",
    "\n",
    "作者：李辉楚吴\n",
    "\n",
    "笔记内容概述: 精确率 Precision、召回率 Recall、F1 Score\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Ifpm7Sql4U09"
   },
   "source": [
    "## Step 1: 数据准备\n",
    "\n",
    "使用make_moons生成虚拟数据构建分类任务"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "sM-ziKb94S9_",
    "outputId": "9a8bd59b-1ed4-47e3-e118-cee1849a610a"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import make_moons\n",
    "from sklearn.model_selection import train_test_split\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "label_size = 18 # Label size\n",
    "ticklabel_size = 14 # Tick label size\n",
    "\n",
    "# Generate moon-shaped data\n",
    "X, Y = make_moons(n_samples=1000, noise=0.4, random_state=42)\n",
    "\n",
    "# Split X and Y into training and testing sets\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, Y, test_size=0.3, random_state=42)\n",
    "\n",
    "# Plot the data\n",
    "fig, ax = plt.subplots(figsize=(10, 8))\n",
    "ax.scatter(X_train[y_train == 1, 0], X_train[y_train == 1, 1], color='red', label='Positive - Train')\n",
    "ax.scatter(X_test[y_test == 1, 0], X_test[y_test == 1, 1], color='orange', label='Positive - Test')\n",
    "ax.scatter(X_train[y_train == 0, 0], X_train[y_train == 0, 1], color='blue', label='Negative - Train')\n",
    "ax.scatter(X_test[y_test == 0, 0], X_test[y_test == 0, 1], color='green', label='Negative - Test')\n",
    "ax.set_xlabel('Feature 1', fontsize=label_size)\n",
    "ax.set_ylabel('Feature 2', fontsize=label_size)\n",
    "\n",
    "ax.tick_params(axis='both', which='major', labelsize=ticklabel_size)\n",
    "\n",
    "# Set legend fontsize\n",
    "plt.legend(prop={'size': 14})\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 2: 使用逻辑回归和SVM进行分类，输出概率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "BWPSDyOq5qOO",
    "outputId": "9aed06f2-67a9-4a6f-f00c-d91554c3a260"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Logistic regression model trained successfully...\n",
      "Support vector machine trained successfully...\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.svm import SVC\n",
    "\n",
    "# Model Definition\n",
    "mdl_lr = LogisticRegression() # Logistic Regression\n",
    "mdl_svm = SVC(probability=True) # Support Vector Machine, set probability to draw P-R Curve\n",
    "\n",
    "# Model Training\n",
    "mdl_lr.fit(X_train, y_train) # Logistic Regression\n",
    "print('Logistic regression model trained successfully...')\n",
    "\n",
    "mdl_svm.fit(X_train, y_train) # Support Vector machine\n",
    "print('Support vector machine trained successfully...')\n",
    "\n",
    "# Get confusion matrix of all models\n",
    "# Predict probabilities for each model\n",
    "y_proba_lr = mdl_lr.predict_proba(X_test)[:, 1] # Using probability of positive class\n",
    "y_proba_svm = mdl_svm.predict_proba(X_test)[:, 1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "BtGNbqlSKnC-"
   },
   "source": [
    "## Step 3: 调整阈值，改变精确率和召回率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def confusion_matrix(y_pred, y):\n",
    "    '''\n",
    "    y_pred - predict classes\n",
    "    y - actual classes\n",
    "    '''\n",
    "    # Get the number of classes\n",
    "    n_classes = len(np.unique(y))\n",
    "    \n",
    "    # Initialize the confusion matrix with zeros\n",
    "    cm = np.zeros((n_classes, n_classes))\n",
    "    \n",
    "    # Fill the confusion matrix\n",
    "    for pred, actual in zip(y_pred, y):\n",
    "        cm[pred][actual] += 1\n",
    "    \n",
    "    return cm\n",
    "\n",
    "def get_prediction_from_proba(y_proba, threshold=0.5):\n",
    "    '''\n",
    "    y_proba - predict probabilities\n",
    "    threshold - threshold of probability\n",
    "    \n",
    "    y_pred - predict classes, y_proba > threshold is positive, otherwise negative\n",
    "    '''\n",
    "    y_pred = np.where(y_proba > threshold, 1, 0)\n",
    "    return y_pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "When threshold = 0.0 - Precision: 0.4800, Recall: 1.0000, F1 Score: 0.6486\n",
      "When threshold = 0.1 - Precision: 0.5934, Recall: 0.9931, F1 Score: 0.7429\n",
      "When threshold = 0.2 - Precision: 0.6900, Recall: 0.9583, F1 Score: 0.8023\n",
      "When threshold = 0.3 - Precision: 0.7247, Recall: 0.8958, F1 Score: 0.8012\n",
      "When threshold = 0.4 - Precision: 0.7654, Recall: 0.8611, F1 Score: 0.8105\n",
      "When threshold = 0.5 - Precision: 0.8176, Recall: 0.8403, F1 Score: 0.8288\n",
      "When threshold = 0.6 - Precision: 0.8382, Recall: 0.7917, F1 Score: 0.8143\n",
      "When threshold = 0.7 - Precision: 0.9130, Recall: 0.7292, F1 Score: 0.8108\n",
      "When threshold = 0.8 - Precision: 0.9375, Recall: 0.6250, F1 Score: 0.7500\n",
      "When threshold = 0.9 - Precision: 1.0000, Recall: 0.3750, F1 Score: 0.5455\n",
      "When threshold = 1.0 - Precision: 0.0000, Recall: 0.0000, F1 Score: 0.0000\n",
      "[[156. 144.]\n",
      " [  0.   0.]]\n"
     ]
    }
   ],
   "source": [
    "def get_precision_recall_f1(y_pred, y):\n",
    "    '''\n",
    "    Compute precision, recall, and F1 score of binary classification\n",
    "    y_pred - predict classes\n",
    "    y - actual classes\n",
    "    '''\n",
    "    epsilon = 1e-10\n",
    "    \n",
    "    # Compute confusion matrix\n",
    "    cm = confusion_matrix(y_pred, y)\n",
    "    \n",
    "    # Compute precision, recall, and F1 score\n",
    "    precision = cm[1, 1] / (cm[1, 1] + cm[1,0] + epsilon)\n",
    "    recall = cm[1, 1] / (cm[1, 1] + cm[0, 1] + epsilon)\n",
    "    f1 = 2 * (precision * recall) / (precision + recall + epsilon)\n",
    "    \n",
    "    return precision, recall, f1\n",
    "\n",
    "# Get predictions from probabilities\n",
    "for threshold in np.linspace(0, 1, 11):\n",
    "    y_pred_lr = get_prediction_from_proba(y_proba_lr, threshold)\n",
    "    precision_lr, recall_lr, f1_lr = get_precision_recall_f1(y_pred_lr, y_test)\n",
    "    print(f\"When threshold = {threshold:0.1f} - Precision: {precision_lr:.4f}, Recall: {recall_lr:.4f}, F1 Score: {f1_lr:.4f}\")\n",
    "\n",
    "print(confusion_matrix(y_pred_lr, y_test))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Step 4: 调整Threshold，绘制P-R曲线图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics import precision_recall_curve\n",
    "\n",
    "# Calculate precision and recall for various thresholds\n",
    "precision_lr, recall_lr, thresholds_lr = precision_recall_curve(y_test, y_proba_lr)\n",
    "precision_svm, recall_svm, thresholds_svm = precision_recall_curve(y_test, y_proba_svm)\n",
    "\n",
    "# Create the P-R curve of Logistic Regression and Support Vector Machine\n",
    "fig, ax = plt.subplots(figsize=(8, 6))\n",
    "ax.plot(recall_lr, precision_lr, marker='.', color='tab:blue', label='Model 2')\n",
    "ax.plot(recall_svm, precision_svm, marker='.', color='tab:orange', label='Model 3')\n",
    "ax.set_xlabel('Recall', fontsize=label_size)\n",
    "ax.set_ylabel('Precision', fontsize=label_size)\n",
    "ax.tick_params(axis='both', which='major', labelsize=ticklabel_size)\n",
    "plt.legend(fontsize=ticklabel_size)\n",
    "\n",
    "# Add some threshold annotations of Logistic Regression\n",
    "for i in [0, int(len(thresholds_lr)/2), len(thresholds_lr)-1]:\n",
    "    plt.annotate(f'Threshold: {thresholds_lr[i]:.2f}', \n",
    "                    xy=(recall_lr[i]*0.8, thresholds_lr[i]), \n",
    "                    xytext=(5, 5), \n",
    "                    textcoords='offset points',\n",
    "                    fontsize=ticklabel_size)\n",
    "\n",
    "plt.savefig('P-R_Curve.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculate F1 scores for SVM model\n",
    "f1_svm = 2 * (precision_svm * recall_svm) / (precision_svm + recall_svm)\n",
    "\n",
    "# Drawing a curve with Recall as x-axis and F1-score as y-axis\n",
    "fig, ax = plt.subplots(figsize=(8, 6))\n",
    "ax.plot(recall_svm, f1_svm, marker='.', color='tab:orange', label='Model 3')\n",
    "ax.set_xlabel('Recall', fontsize=label_size)\n",
    "ax.set_ylabel('F1 Score', fontsize=label_size)\n",
    "ax.tick_params(axis='both', which='major', labelsize=ticklabel_size)\n",
    "\n",
    "# Add some threshold annotations of SVM where F1-score is maximum\n",
    "max_f1_index = np.argmax(f1_svm)\n",
    "plt.annotate(f'Threshold: {thresholds_svm[max_f1_index]:.2f}', \n",
    "                    xy=(recall_svm[max_f1_index]*0.8, f1_svm[max_f1_index]), \n",
    "                    xytext=(5, 5), \n",
    "                    textcoords='offset points',\n",
    "                    fontsize=ticklabel_size)\n",
    "\n",
    "# Adding a dashed line to indicate the maximum F1 score\n",
    "plt.axvline(x=recall_svm[max_f1_index], color='tab:orange', linestyle='--')\n",
    "plt.axhline(y=f1_svm[max_f1_index], color='tab:orange', linestyle='--')\n",
    "\n",
    "# Adding text annotations for maximum F1 score\n",
    "plt.text(recall_svm[max_f1_index]-0.8, f1_svm[max_f1_index]-0.05, f'Max F1 Score: {f1_svm[max_f1_index]:.4f}', \n",
    "         horizontalalignment='left', verticalalignment='bottom', fontsize=ticklabel_size, color='tab:orange')\n",
    "\n",
    "# Adding text annotations below x-axis of Recall where F1-score is maximum\n",
    "plt.text(recall_svm[max_f1_index]-0.3, -0.05, f'Recall: {recall_svm[max_f1_index]:.4f}', \n",
    "         horizontalalignment='left', verticalalignment='bottom', fontsize=ticklabel_size, color='tab:orange')\n",
    "\n",
    "plt.savefig('F1_Curve.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "colab": {
   "authorship_tag": "ABX9TyO5gS9/MePw+FDiXJA07L6y",
   "include_colab_link": true,
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
